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Simplifying 16 = 10c + -1c2 Solving 16 = 10c + -1c2 Solving for variable 'c'. Reorder the terms: 16 + -10c + c2 = 10c + -10c + -1c2 + c2 Combine like terms: 10c + -10c = 0 16 + -10c + c2 = 0 + -1c2 + c2 16 + -10c + c2 = -1c2 + c2 Combine like terms: -1c2 + c2 = 0 16 + -10c + c2 = 0 Factor a trinomial. (2 + -1c)(8 + -1c) = 0Subproblem 1
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Subproblem 2
Set the factor '(8 + -1c)' equal to zero and attempt to solve: Simplifying 8 + -1c = 0 Solving 8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = 0 + -8 -1c = 0 + -8 Combine like terms: 0 + -8 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8Solution
c = {2, 8}
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